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Finding the Fourth Proportional to 299,698.35, 412,741.76 and 293,166.51

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Solution

The fourth proportional to 299,698.35, 412,741.76 and 293,166.51 is: 403,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,698.35 : 412,741.76 = 293,166.51 : x
  2. Step 2: Convert to fraction form
    299,698.35/412,741.76 = 293,166.51/x
  3. Step 3: Cross multiply
    299,698.35x = 412,741.76 × 293,166.51
  4. Step 4: Simplify right side
    299,698.35x = 121,002,059,844.63
  5. Step 5: Solve for x
    x = 121,002,059,844.63/299,698.35
  6. Step 6: Final answer
    x = 403,746.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.